Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104g |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-20962228224 = -1 · 211 · 3 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,376,6252] |
[a1,a2,a3,a4,a6] |
j |
24334/87 |
j-invariant |
L |
0.86036017019191 |
L(r)(E,1)/r! |
Ω |
0.86036017019761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208w1 102312by1 696b1 |
Quadratic twists by: -4 -3 -7 |